The equivariant pair-of-pants product in fixed point Floer cohomology
arXiv:1411.2639
Abstract
The Floer cohomology of a symplectic automorphism and that of its square are related by the pair-of-pants product. For exact symplectic automorphisms, we introduce an equivariant version of that product, and use it to prove a Smith-type inequality of ranks between Floer cohomology groups. Under additional topological assumptions, the same inequality was previously proved by Hendricks, using a different strategy.
v2: discussion of the situation for monotone symplectic manifolds slightly expanded, and moved into a separate section at the end; v3: exposition expanded, one error corrected (in the proof of Lemma 6.2); v4: typos removed; v5: more typos removed